Year 10 - Maths
Checking and securing understanding of changing the subject
Algebraic manipulation
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In algebraic manipulation, pupils use apply knowledge of the distributive law to find the product of two binomaials in order to factorise quadratics.
Lesson Summary
You will learn to apply an understanding of inverse operations to a formula in order to make a specific variable the subject.
Key Notes
- Rearranging the formula may be beneficial when what you wish to calculate is not the subject.
- You can compare rearranging the formula to solving for one unknown.
- Instead of finding a value though, you will find an expression that the variable is equal to.
Vocabulary To Learn
- Subject of an equation: The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1.
Common Mistakes To Avoid
- When rearranging multiplicative relationships, the values just 'swap'
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Rearranging the formula may be beneficial when what you wish to calculate is not the subject. You can compare rearranging the formula to solving for one unknown.
2. Use this key word in a maths sentence and explain it clearly. 'Subject of an equation'
The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When rearranging multiplicative relationships, the values just 'swap'. Correction: Pupils should understand how to manipulate multiplicative relationships properly instead of relying on a 'trick'. This will be useful in other subject areas as well.
More Lessons In This Unit
- Advanced problem solving with algebraic manipulation Study Guide
- Checking and securing understanding of expanding a single bracket Study Guide
- Checking and securing understanding of factorising Study Guide
- Checking and securing understanding of forming linear equations Study Guide
- Checking and securing understanding of simplifying Study Guide
- Checking and securing understanding of solving and interpreting linear equations Study Guide
- Checking and securing understanding of substitution Study Guide
- Checking and securing understanding of the product of two binomials Study Guide
- Factorising a quadratic expression Study Guide
- Factorising quadratics of the form ax^2 + bx + c Study Guide
- Factorising using the difference of two squares Study Guide
- Further algebraic terminology Study Guide
- Problem solving with algebraic manipulation Study Guide
- Solving complex quadratic equations by completing the square Study Guide
- Solving quadratic equations by completing the square Study Guide
- Solving quadratic equations by factorising Study Guide
- Solving quadratic equations by factorising where rearrangement is required Study Guide
- Solving quadratic equations by using the formula Study Guide
- The product of three binomials Study Guide
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